6718412160 has 480 divisors, whose sum is σ = 25392430800. Its totient is φ = 1692555264.

The previous prime is 6718412147. The next prime is 6718412161. The reversal of 6718412160 is 612148176.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6718412161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18714061 + ... + 18714419.

Almost surely, 2^6718412160 is an apocalyptic number.

6718412160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6718412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12696215400).

6718412160 is an abundant number, since it is smaller than the sum of its proper divisors (18674018640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6718412160 is a wasteful number, since it uses less digits than its factorization.

6718412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 6718412160 is about 81965.9207231884. The cubic root of 6718412160 is about 1886.9289505931.

The spelling of 6718412160 in words is "six billion, seven hundred eighteen million, four hundred twelve thousand, one hundred sixty".